6(x+8)=7(x-4)

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Solution for 6(x+8)=7(x-4) equation:


Simplifying
6(x + 8) = 7(x + -4)

Reorder the terms:
6(8 + x) = 7(x + -4)
(8 * 6 + x * 6) = 7(x + -4)
(48 + 6x) = 7(x + -4)

Reorder the terms:
48 + 6x = 7(-4 + x)
48 + 6x = (-4 * 7 + x * 7)
48 + 6x = (-28 + 7x)

Solving
48 + 6x = -28 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
48 + 6x + -7x = -28 + 7x + -7x

Combine like terms: 6x + -7x = -1x
48 + -1x = -28 + 7x + -7x

Combine like terms: 7x + -7x = 0
48 + -1x = -28 + 0
48 + -1x = -28

Add '-48' to each side of the equation.
48 + -48 + -1x = -28 + -48

Combine like terms: 48 + -48 = 0
0 + -1x = -28 + -48
-1x = -28 + -48

Combine like terms: -28 + -48 = -76
-1x = -76

Divide each side by '-1'.
x = 76

Simplifying
x = 76

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